Question
upstudy study bank question image url

Factor the perfect square \( t \) \[ x^{2}-2 x+1 \]

Ask by Wagner Lindsey. in the United States
Mar 16,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\( x^{2} - 2x + 1 = (x - 1)^2 \)

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

The Deep Dive

Did you know that the expression \( x^{2}-2x+1 \) is actually a perfect square trinomial? It can be factored into \( (x-1)^{2} \). This means that \( x^{2}-2x+1 \) represents the square of the binomial \( (x-1) \)! Making real-world connections, perfect squares are all around us. For example, when you’re designing a garden or DIY project, using the concept of perfect squares can help ensure you get symmetrical and balanced shapes, leading to a visually appealing outcome! So, every time you spot a square structure, think of those nifty algebraic formulas behind the scenes!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy